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Finding the Fourth Proportional to 9,204.18, 12,701.17 and 5,427.16

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Solution

The fourth proportional to 9,204.18, 12,701.17 and 5,427.16 is: 7,489.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.18 : 12,701.17 = 5,427.16 : x
  2. Step 2: Convert to fraction form
    9,204.18/12,701.17 = 5,427.16/x
  3. Step 3: Cross multiply
    9,204.18x = 12,701.17 × 5,427.16
  4. Step 4: Simplify right side
    9,204.18x = 68,931,323.22
  5. Step 5: Solve for x
    x = 68,931,323.22/9,204.18
  6. Step 6: Final answer
    x = 7,489.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.